Solve: 5x(x-5)-2x(x+4)=-90
Is the answer 5,6 ?
It is a quadratic equation so it may have two solutions. 5 and 6 are both solutions, as you can verify by substitution.
Thanks
To solve the given equation: 5x(x - 5) - 2x(x + 4) = -90, we need to simplify and rearrange the equation to isolate the variable x.
Let's start by expanding and combining like terms:
5x(x - 5) - 2x(x + 4) = -90
5x^2 - 25x - 2x^2 - 8x = -90 (Applying the distributive property)
(5x^2 - 2x^2) + (-25x - 8x) = -90 (Grouping the like terms)
3x^2 - 33x = -90 (Combining the like terms)
Next, let's bring all the terms to one side of the equation:
3x^2 - 33x + 90 = 0 (Adding 90 to both sides)
Now, we can try to factor the quadratic equation:
3x^2 - 33x + 90 = 0
(x - 5)(3x - 18) = 0 (Factoring using the FOIL method)
To find the possible values of x, we set each factor equal to zero and solve for x:
x - 5 = 0 or 3x - 18 = 0
Solving the first equation:
x = 5
Solving the second equation:
3x - 18 = 0
3x = 18
x = 6
The possible solutions for the equation 5x(x - 5) - 2x(x + 4) = -90 are x = 5 and x = 6. Thus, the answer is not just 5 and 6, but it includes both values.